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@INPROCEEDINGS{Burgeth:910341,
      author       = {Burgeth, Bernhard and Kleefeld, Andreas and Zhang, Eugene
                      and Zhang, Yue},
      title        = {{T}owards {T}opological {A}nalysis of {N}on-symmetric
                      {T}ensor {F}ields via {C}omplexification},
      volume       = {13493},
      address      = {Cham},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2022-03760},
      isbn         = {978-3-031-19896-0 (print)},
      series       = {Lecture Notes in Computer Science},
      pages        = {48 - 59},
      year         = {2022},
      abstract     = {Fields of asymmetric tensors play an important role in many
                      applications such as medical imaging (diffusion tensor
                      magnetic resonance imaging), physics, and civil engineering
                      (for example Cauchy-Green-deformation tensor, strain tensor
                      with local rotations, etc.). However, such asymmetric
                      tensors are usually symmetrized and then further processed.
                      Using this procedure results in a loss of information. A new
                      method for the processing of asymmetric tensor fields is
                      proposed restricting our attention to tensors of
                      second-order given by a 2 × 2 array or matrix with real
                      entries. This is achieved by a transformation resulting in
                      Hermitian matrices that have an eigendecomposition similar
                      to symmetric matrices. With this new idea numerical results
                      for real-world data arising from a deformation of an object
                      by external forces are given. It is shown that the
                      asymmetric part indeed contains valuable information.},
      month         = {Oct},
      date          = {2022-10-24},
      organization  = {Discrete Geometry and Mathematical
                       Morphology, Strasbourg (France), 24 Oct
                       2022 - 27 Oct 2022},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5112},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      UT           = {WOS:001286406100005},
      doi          = {10.1007/978-3-031-19897-7_5},
      url          = {https://juser.fz-juelich.de/record/910341},
}